Turkish Journal of Mathematics
Abstract
In this paper, we introduce biquandle power brackets, an infinite family of invariants of oriented links containing the classical skein invariants and the quandle and biquandle 2-cocycle invariants as special cases. Biquandle power brackets are generalizations of biquandle brackets in which the values of Kauffman states also depend on the biquandle colors they admit. We provide example computations and discuss the relationship between these new invariants and the previous cases.
DOI
10.55730/1300-0098.3580
Keywords
Biquandle brackets, Biquandle invariants of oriented links, Biquandle power brackets
First Page
157
Last Page
172
Publisher
The Scientific and Technological Research Council of Türkiye (TÜBİTAK)
Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.
Recommended Citation
GÜGÜMCÜ, N, & NELSON, S (2025). Biquandle Power Brackets of Oriented Links. Turkish Journal of Mathematics 49 (2): 157-172. https://doi.org/10.55730/1300-0098.3580
